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On optimum design in fluid mechanics

Published online by Cambridge University Press:  29 March 2006

O. Pironneau
O. Pironneau
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge Present address: IRIA Laboria, Eocquencourt, 78150 Le Chesnay, France.
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Abstract

In this paper, the change in energy dissipation due to a small hump on a body in a uniform steady flow is calculated. The result is used in conjunction with the variational methods of optimal control to obtain the optimality conditions for four minimum-drag problems of fluid mechanics. These conditions imply that the unit-area profile of smallest drag has a front end shaped like a wedge of angle 90°.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 1 , 3 June 1974 , pp. 97 - 110
Copyright
© 1974 Cambridge University Press

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References

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